Given a number N. The task is to write a program to find the Nth term of the below series:

0, 14, 40, 78, 124 …(N Terms)

**Examples:**

Input: N = 4 Output: 78 For N = 4 Sum(upto 4 terms) = ( 6 * n * n - 4 * n - 2) = ( 6 * 4 * 4 - 4 * 4 - 2) = 78 Input: N = 10 Output: 557

**Approach:** The generalized Nth term of this series:

Below is the required implementation:

## C++

`// CPP program to find the N-th term of the series ` `// 0, 14, 40, 78, 124 ... ` `#include <iostream> ` `#include <math.h> ` `using` `namespace` `std; ` ` ` `// calculate sum upto Nth term of series ` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `6 * ` `pow` `(n, 2) - 4 * n - 2; ` `} ` ` ` `// Driver code ` `int` `main() ` `{ ` ` ` `int` `N = 4; ` ` ` ` ` `cout << nthTerm(N); ` ` ` ` ` `return` `0; ` `} ` |

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## Java

`// Java program to find the N-th term of the series ` `// 0, 14, 40, 78, 124 ... ` `import` `java.util.*; ` `class` `solution ` `{ ` ` ` `// calculate sum up to Nth term of series ` `static` `int` `nthTerm(` `int` `n) ` `{ ` ` ` ` ` `//return the final sum ` ` ` `return` `6` `* (` `int` `)Math.pow(n, ` `2` `) - ` `4` `* n - ` `2` `; ` `} ` ` ` `// Driver code ` `public` `static` `void` `main(String arr[]) ` `{ ` ` ` `int` `N = ` `4` `; ` ` ` ` ` `System.out.println(nthTerm(N)); ` ` ` `} ` `} ` `//This code is contributed by Surendra_Gangwar ` |

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## Python3

`# Python3 program to find ` `# the N-th term of the series ` `# 0, 14, 40, 78, 124 ... ` ` ` `# calculate sum upto Nth ` `# term of series ` `def` `nthTerm(n): ` ` ` `return` `int` `(` `6` `*` `pow` `(n, ` `2` `) ` `-` `4` `*` `n ` `-` `2` `) ` ` ` `# Driver code ` `N ` `=` `4` `print` `(nthTerm(N)) ` ` ` `# This code is contributed ` `# by Shrikant13 ` |

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## C#

`// C# program to find the ` `// N-th term of the series ` `// 0, 14, 40, 78, 124 ... ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` `// calculate sum up to Nth ` `// term of series ` `static` `int` `nthTerm(` `int` `n) ` `{ ` ` ` ` ` `//return the final sum ` ` ` `return` `6 * (` `int` `)Math.Pow(n, 2) - ` ` ` `4 * n - 2; ` `} ` ` ` `// Driver code ` `public` `static` `void` `Main() ` `{ ` ` ` `int` `N = 4; ` ` ` ` ` `Console.WriteLine(nthTerm(N)); ` `} ` `} ` ` ` `// This code is contributed ` `// by inder_verma ` |

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## PHP

`<?php ` `// PHP program to find the ` `// N-th term of the series ` `// 0, 14, 40, 78, 124 ... ` ` ` `// calculate sum upto ` `// Nth term of series ` `function` `nthTerm(` `$n` `) ` `{ ` ` ` `return` `6 * pow(` `$n` `, 2) - 4 * ` `$n` `- 2; ` `} ` ` ` `// Driver code ` `$N` `= 4; ` ` ` `echo` `nthTerm(` `$N` `); ` ` ` `// This code is contributed by ` `// Akanksha Rai(Abby_akku) ` |

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**Output:**

78

**Time Complexity:** O(1)

**Note:** Sum upto n terms of the above series(Sn) is:

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